Test Academy | A slightly conical wire of length L and end radii r₁ and r₂ is stretched by two forces F, F applied parallel to length in opposite directions and normal to end faces. If Y denotes the Young’s modulus, then extension produced is FL/πr₁²Y, FL/πr₁Y, FL/πr₁r₂Y, FLY/πr₁r₂

Question

A slightly conical wire of length L and end radii r₁ and r₂ is stretched by two forces F, F applied parallel to length in opposite directions and normal to end faces. If Y denotes the Young’s modulus, then extension produced is

Options :

FL/πr₁²Y
FL/πr₁Y
FL/πr₁r₂Y
FLY/πr₁r₂

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